Here is the full list of all 77 Crash Bandicoot N. Sane Trilogy achievements worth 3,000 gamerscore.
Earn 5 Relics.
Die.
Spin away an Extra Life.
Defeat Papu-Papu.
Defeat Ripper Roo.
In a single level, spin an enemy into another enemy twice.
Enter a Bonus Round after collecting 3 Character Tokens.
Miss a lot of boxes.
Discover a Gem Path after earning a Color Gem.
Earn the Key in Sunset Vista.
Earn the Key in Jaws of Darkness.
Earn 10 Relics (gold or better).
Die as Crash.
Defeat Koala Kong.
Defeat Pinstripe Potoroo.
Seek and destroy.
Defeat N. Cortex.
Earn 13 Gems.
Defeat N. Brio.
Defeat 5 enemies with Coco's Spin.
Earn 99 Lives.
Do hard time.
Earn 26 Relics (gold or better).
Earn 26 Gems.
Collect all the Crash Bandicoot Achievements
Don't feel guilty about jumping on him.
Discover a "?" Bonus Path.
Just "forget" it. Repeatedly.
Defeat the Komodo Brothers.
Discover a Death Route.
Fly, then die.
Discover the Secret Exit in Hangin' Out.
Discover the Secret Exit in Bear Down.
Discover the Secret Exit in Air Crash.
Defeat N. Gin.
Discover the Secret Exit in Unbearable.
Discover the Secret Exit in Diggin' It.
Defeat Tiny Tiger.
Defeat 5 enemies with Coco's Double Leg Drop.
Earn 42 Gems.
Earn 21 Gems.
Earn 27 Relics (gold or better).
Collect all the Crash Bandicoot 2: Cortex Strikes Back Achievements
Shoot the imposter.
Defeat Dingodile.
Have your bazooka ready.
Shoot 5 of them in a single level.
Defeat N. Tropy.
Shoot a background UFO in Future Tense.
Discover the Secret Exit in Dino Might!
Earn the Gems in the bonus levels.
Seek and destroy. Again.
Discover the Secret Exit in Road Crash.
Avoid whatever he's flinging at you.
Defeat 5 enemies with Coco's Savage Hurricane Spin.
Earn 30 Relics (gold or better).
Collect all the Crash Bandicoot 3: Warped Achievements